152.4 is what percent of 156.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 156.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 156.9, so we can write it down as 100%=156.9.
4. We know, that x% equals 152.4 of the output value, so we can write it down as x%=152.4.
5. Now we have two simple equations:
1) 100%=156.9
2) x%=152.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=156.9/152.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.4 is what percent of 156.9

100%/x%=156.9/152.4
(100/x)*x=(156.9/152.4)*x       - we multiply both sides of the equation by x
100=1.0295275590551*x       - we divide both sides of the equation by (1.0295275590551) to get x
100/1.0295275590551=x
97.131931166348=x
x=97.131931166348

now we have:
152.4 is 97.131931166348% of 156.9